Question

6 fill in the blank 1 point use dimensional analysis to carry out the following conversions. hint: 1 mi = 1609.34 m hint: 1 cm³ = 1 ml part a: 3.337 g/cm³ = choose your answer... kg/m³ part b: 65 mi/hr = choose your answer... m/s part c: 5.2 l = choose your answer... m³

Explanation:

Step1: Convert g to kg and cm³ to m³ for Part A

$3.337\frac{g}{cm^{3}}\times\frac{1kg}{1000g}\times(\frac{100cm}{1m})^{3}$

Step2: Convert mi to m and hr to s for Part B

$65\frac{mi}{hr}\times\frac{1609.34m}{1mi}\times\frac{1hr}{3600s}$

Step3: Convert L to m³ for Part C

$5.2L\times\frac{1dm^{3}}{1L}\times(\frac{1m}{10dm})^{3}$

Answer:

Part A: $3337$
Part B: $29.06$
Part C: $0.0052$